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Finding the Fourth Proportional to 417,953.79, 576,771.17 and 226,968.57

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Solution

The fourth proportional to 417,953.79, 576,771.17 and 226,968.57 is: 313,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,953.79 : 576,771.17 = 226,968.57 : x
  2. Step 2: Convert to fraction form
    417,953.79/576,771.17 = 226,968.57/x
  3. Step 3: Cross multiply
    417,953.79x = 576,771.17 × 226,968.57
  4. Step 4: Simplify right side
    417,953.79x = 130,908,926,537.28
  5. Step 5: Solve for x
    x = 130,908,926,537.28/417,953.79
  6. Step 6: Final answer
    x = 313,213.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.